Too many solutions

Number Theory Level 4

The number of real solutions of the equations ∣ x 2 − 2 x ∣ + y = 1 |x^{2}-2x|+y=1 and x 2 + ∣ y ∣ = 1 x^{2}+|y|=1 is:

Source : NMTC 2015 Inter Level.


The answer is 3.

Shivam Jadhav by Shivam Jadhav , 22, India

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1 solution

Pranay Kumar
Aug 25, 2015

By drawing graphs of y=1- | x^2 - 2x | and |y|= 1-x^2 ..

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